Date of Award
Brittany A. Erickson
Anisotropy -- Mathematical models, Earthquakes -- Mathematical models, Finite differences, Faults (Geology)
We have developed a methodology for incorporating and studying the effects of anisotropy when simulating the full earthquake cycle. The method is developed for a vertical strike-slip fault in two-dimensions, with antiplane motion. Inertial terms are dropped from the elastic anisotropic wave equation to obtain a steady state problem. This resulting equilibrium equation is discretized with a finite difference method. A nonlinear rate-and-state friction law is enforced at the fault. Time stepping is adaptive to capture highly varying time scales, and as such is able to produce self-consistent initial conditions.
Best Mckay, Maricela T., "Modeling Anisotropy in the Earthquake Cycle: A Numerical Multiscale Model" (2017). University Honors Theses. Paper 467.